%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:39:08 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 62 ( 8 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p22_15,axiom,
! [VAR_0] : p22(VAR_0,VAR_0),
file('theBenchmark.p',p22_15) ).
cnf(c_15,plain,
p22(A,A),
inference(clausify,[status(thm)],[p22_15]) ).
fof(p2_17,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_17) ).
cnf(c_17,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_17]) ).
fof(not_p39_43,axiom,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('theBenchmark.p',not_p39_43) ).
cnf(c_43,plain,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
inference(clausify,[status(thm)],[not_p39_43]) ).
fof(p39_44,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p39(f17(f19(f21(c47,VAR_0),VAR_2),VAR_3),VAR_1)
| p39(VAR_0,VAR_1) ),
file('theBenchmark.p',p39_44) ).
cnf(c_44,plain,
( ~ p39(f17(f19(f21(c47,A),C),D),B)
| p39(A,B) ),
inference(clausify,[status(thm)],[p39_44]) ).
fof(p39_45,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p22(VAR_3,VAR_1)
| ~ p4(VAR_2,VAR_0)
| ~ p39(VAR_2,VAR_3)
| p39(VAR_0,VAR_1) ),
file('theBenchmark.p',p39_45) ).
cnf(c_45,plain,
( ~ p22(D,B)
| ~ p4(C,A)
| ~ p39(C,D)
| p39(A,B) ),
inference(clausify,[status(thm)],[p39_45]) ).
fof(p39_46,axiom,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('theBenchmark.p',p39_46) ).
cnf(c_46,plain,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
inference(clausify,[status(thm)],[p39_46]) ).
fof(p4_50,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p4(f5(VAR_0,VAR_1),f5(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_50) ).
cnf(c_50,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p4(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p4_50]) ).
fof(p39_63,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p39(f5(c40,f10(f13(f15(c42,VAR_0),VAR_2),VAR_3)),VAR_1)
| p39(VAR_0,VAR_1) ),
file('theBenchmark.p',p39_63) ).
cnf(c_63,plain,
( ~ p39(f5(c40,f10(f13(f15(c42,A),C),D)),B)
| p39(A,B) ),
inference(clausify,[status(thm)],[p39_63]) ).
fof(p39_64,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p39(VAR_0,VAR_3)
| p39(f5(c40,f10(f13(f15(c42,VAR_0),VAR_1),VAR_2)),VAR_3) ),
file('theBenchmark.p',p39_64) ).
cnf(c_64,plain,
( ~ p39(A,D)
| p39(f5(c40,f10(f13(f15(c42,A),B),C)),D) ),
inference(clausify,[status(thm)],[p39_64]) ).
fof(p3_67,axiom,
! [VAR_0,VAR_1,VAR_2] : p3(f7(c41,f10(f13(f15(c42,VAR_0),VAR_1),VAR_2)),f10(f13(f15(c42,f17(f19(f21(c47,VAR_0),VAR_1),VAR_2)),f26(f28(f30(c48,VAR_0),VAR_1),VAR_2)),f34(f36(f38(c49,VAR_0),VAR_1),VAR_2))),
file('theBenchmark.p',p3_67) ).
cnf(c_67,plain,
p3(f7(c41,f10(f13(f15(c42,A),B),C)),f10(f13(f15(c42,f17(f19(f21(c47,A),B),C)),f26(f28(f30(c48,A),B),C)),f34(f36(f38(c49,A),B),C))),
inference(clausify,[status(thm)],[p3_67]) ).
cnf(c_72,plain,
~ p39(c43,c46),
inference(resolve,[status(thm)],[c_64,c_43]) ).
cnf(c_199,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_50,c_17]) ).
cnf(c_75,plain,
p4(f5(A,f7(c41,f10(f13(f15(c42,B),C),D))),f5(A,f10(f13(f15(c42,f17(f19(f21(c47,B),C),D)),f26(f28(f30(c48,B),C),D)),f34(f36(f38(c49,B),C),D)))),
inference(resolve,[status(thm)],[c_199,c_67]) ).
cnf(c_97,plain,
~ p39(f17(f19(f21(c47,c43),A),B),c46),
inference(resolve,[status(thm)],[c_72,c_44]) ).
cnf(c_200,plain,
( ~ p22(c46,B)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),A)
| p39(A,B) ),
inference(resolve,[status(thm)],[c_45,c_46]) ).
cnf(c_201,plain,
( ~ p22(c46,A)
| p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),A) ),
inference(resolve,[status(thm)],[c_200,c_75]) ).
cnf(c_130,plain,
p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46),
inference(resolve,[status(thm)],[c_201,c_15]) ).
cnf(c_202,plain,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(resolve,[status(thm)],[c_63,c_130]) ).
cnf(c_198,plain,
$false,
inference(resolve,[status(thm)],[c_97,c_202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:20:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.37 % Process 3915739 was started by sandbox2 on n010,
% 0.14/0.37 % Sat Sep 26 18:20:45 2026
% 0.14/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.37
% 0.14/0.37 % From the command line: assign(max_seconds, 300).
% 0.14/0.40
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40
% 0.14/0.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/0.40 % Length of proof is 15.
% 0.14/0.40 % Level of proof is 3.
% 0.14/0.40 % Maximum clause weight is 79.000.
% 0.14/0.40 % Given clauses 88.
% 0.14/0.40
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------